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Finding the Fourth Proportional to 602,041.50, 830,946.87 and 360,378

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Solution

The fourth proportional to 602,041.50, 830,946.87 and 360,378 is: 497,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,041.50 : 830,946.87 = 360,378 : x
  2. Step 2: Convert to fraction form
    602,041.50/830,946.87 = 360,378/x
  3. Step 3: Cross multiply
    602,041.50x = 830,946.87 × 360,378
  4. Step 4: Simplify right side
    602,041.50x = 299,454,971,116.86
  5. Step 5: Solve for x
    x = 299,454,971,116.86/602,041.50
  6. Step 6: Final answer
    x = 497,399.22

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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.