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Finding the Fourth Proportional to 585,038.30, 877,557.45 and 478,750.10

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Solution

The fourth proportional to 585,038.30, 877,557.45 and 478,750.10 is: 718,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,038.30 : 877,557.45 = 478,750.10 : x
  2. Step 2: Convert to fraction form
    585,038.30/877,557.45 = 478,750.10/x
  3. Step 3: Cross multiply
    585,038.30x = 877,557.45 × 478,750.10
  4. Step 4: Simplify right side
    585,038.30x = 420,130,716,943.25
  5. Step 5: Solve for x
    x = 420,130,716,943.25/585,038.30
  6. Step 6: Final answer
    x = 718,125.15

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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.