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Finding the Fourth Proportional to 684,898.01, 945,094.88 and 463,685.31

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Solution

The fourth proportional to 684,898.01, 945,094.88 and 463,685.31 is: 639,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,898.01 : 945,094.88 = 463,685.31 : x
  2. Step 2: Convert to fraction form
    684,898.01/945,094.88 = 463,685.31/x
  3. Step 3: Cross multiply
    684,898.01x = 945,094.88 × 463,685.31
  4. Step 4: Simplify right side
    684,898.01x = 438,226,607,292.75
  5. Step 5: Solve for x
    x = 438,226,607,292.75/684,898.01
  6. Step 6: Final answer
    x = 639,842.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.