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Finding the Fourth Proportional to 912,969,969.84, 1,368,602,985.68 and 360,276,975.04

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Solution

The fourth proportional to 912,969,969.84, 1,368,602,985.68 and 360,276,975.04 is: 540,079,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,969,969.84 : 1,368,602,985.68 = 360,276,975.04 : x
  2. Step 2: Convert to fraction form
    912,969,969.84/1,368,602,985.68 = 360,276,975.04/x
  3. Step 3: Cross multiply
    912,969,969.84x = 1,368,602,985.68 × 360,276,975.04
  4. Step 4: Simplify right side
    912,969,969.84x = 493,076,143,711,502,912
  5. Step 5: Solve for x
    x = 493,076,143,711,502,912/912,969,969.84
  6. Step 6: Final answer
    x = 540,079,257.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.