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Finding the Fourth Proportional to 614,765.40, 922,148.10 and 610,828.80

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Solution

The fourth proportional to 614,765.40, 922,148.10 and 610,828.80 is: 916,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,765.40 : 922,148.10 = 610,828.80 : x
  2. Step 2: Convert to fraction form
    614,765.40/922,148.10 = 610,828.80/x
  3. Step 3: Cross multiply
    614,765.40x = 922,148.10 × 610,828.80
  4. Step 4: Simplify right side
    614,765.40x = 563,274,617,345.28
  5. Step 5: Solve for x
    x = 563,274,617,345.28/614,765.40
  6. Step 6: Final answer
    x = 916,243.20

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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.