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Finding the Fourth Proportional to 411,030.90, 616,400.55 and 144,800.10

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Solution

The fourth proportional to 411,030.90, 616,400.55 and 144,800.10 is: 217,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,030.90 : 616,400.55 = 144,800.10 : x
  2. Step 2: Convert to fraction form
    411,030.90/616,400.55 = 144,800.10/x
  3. Step 3: Cross multiply
    411,030.90x = 616,400.55 × 144,800.10
  4. Step 4: Simplify right side
    411,030.90x = 89,254,861,280.06
  5. Step 5: Solve for x
    x = 89,254,861,280.06/411,030.90
  6. Step 6: Final answer
    x = 217,148.79

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1.5x scale

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.