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Finding the Fourth Proportional to 614,582.40, 922,456.80 and 378,386.40

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Solution

The fourth proportional to 614,582.40, 922,456.80 and 378,386.40 is: 567,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,582.40 : 922,456.80 = 378,386.40 : x
  2. Step 2: Convert to fraction form
    614,582.40/922,456.80 = 378,386.40/x
  3. Step 3: Cross multiply
    614,582.40x = 922,456.80 × 378,386.40
  4. Step 4: Simplify right side
    614,582.40x = 349,045,107,707.52
  5. Step 5: Solve for x
    x = 349,045,107,707.52/614,582.40
  6. Step 6: Final answer
    x = 567,938.66

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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.