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Finding the Fourth Proportional to 502,328.40, 752,180.40 and 478,708.80

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Solution

The fourth proportional to 502,328.40, 752,180.40 and 478,708.80 is: 716,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,328.40 : 752,180.40 = 478,708.80 : x
  2. Step 2: Convert to fraction form
    502,328.40/752,180.40 = 478,708.80/x
  3. Step 3: Cross multiply
    502,328.40x = 752,180.40 × 478,708.80
  4. Step 4: Simplify right side
    502,328.40x = 360,075,376,667.52
  5. Step 5: Solve for x
    x = 360,075,376,667.52/502,328.40
  6. Step 6: Final answer
    x = 716,812.70

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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.