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Finding the Fourth Proportional to 648,176.40, 972,264.60 and 611,434.80

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Solution

The fourth proportional to 648,176.40, 972,264.60 and 611,434.80 is: 917,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,176.40 : 972,264.60 = 611,434.80 : x
  2. Step 2: Convert to fraction form
    648,176.40/972,264.60 = 611,434.80/x
  3. Step 3: Cross multiply
    648,176.40x = 972,264.60 × 611,434.80
  4. Step 4: Simplify right side
    648,176.40x = 594,476,411,248.08
  5. Step 5: Solve for x
    x = 594,476,411,248.08/648,176.40
  6. Step 6: Final answer
    x = 917,152.20

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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.