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Finding the Fourth Proportional to 390,941.80, 586,412.70 and 296,463.40

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Solution

The fourth proportional to 390,941.80, 586,412.70 and 296,463.40 is: 444,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,941.80 : 586,412.70 = 296,463.40 : x
  2. Step 2: Convert to fraction form
    390,941.80/586,412.70 = 296,463.40/x
  3. Step 3: Cross multiply
    390,941.80x = 586,412.70 × 296,463.40
  4. Step 4: Simplify right side
    390,941.80x = 173,849,902,845.18
  5. Step 5: Solve for x
    x = 173,849,902,845.18/390,941.80
  6. Step 6: Final answer
    x = 444,695.10

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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.