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Finding the Fourth Proportional to 520,070.30, 780,688.65 and 402,263.90

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Solution

The fourth proportional to 520,070.30, 780,688.65 and 402,263.90 is: 603,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,070.30 : 780,688.65 = 402,263.90 : x
  2. Step 2: Convert to fraction form
    520,070.30/780,688.65 = 402,263.90/x
  3. Step 3: Cross multiply
    520,070.30x = 780,688.65 × 402,263.90
  4. Step 4: Simplify right side
    520,070.30x = 314,042,861,034.74
  5. Step 5: Solve for x
    x = 314,042,861,034.74/520,070.30
  6. Step 6: Final answer
    x = 603,846.94

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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.