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Finding the Fourth Proportional to 553,545.80, 763,965.78 and 311,875.02

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Solution

The fourth proportional to 553,545.80, 763,965.78 and 311,875.02 is: 430,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,545.80 : 763,965.78 = 311,875.02 : x
  2. Step 2: Convert to fraction form
    553,545.80/763,965.78 = 311,875.02/x
  3. Step 3: Cross multiply
    553,545.80x = 763,965.78 × 311,875.02
  4. Step 4: Simplify right side
    553,545.80x = 238,261,842,916.82
  5. Step 5: Solve for x
    x = 238,261,842,916.82/553,545.80
  6. Step 6: Final answer
    x = 430,428.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.