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Finding the Fourth Proportional to 520,098.60, 778,592.70 and 489,340.20

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Solution

The fourth proportional to 520,098.60, 778,592.70 and 489,340.20 is: 732,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098.60 : 778,592.70 = 489,340.20 : x
  2. Step 2: Convert to fraction form
    520,098.60/778,592.70 = 489,340.20/x
  3. Step 3: Cross multiply
    520,098.60x = 778,592.70 × 489,340.20
  4. Step 4: Simplify right side
    520,098.60x = 380,996,707,536.54
  5. Step 5: Solve for x
    x = 380,996,707,536.54/520,098.60
  6. Step 6: Final answer
    x = 732,547.07

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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.