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Finding the Fourth Proportional to 610,718.40, 916,077.60 and 512,740.80

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Solution

The fourth proportional to 610,718.40, 916,077.60 and 512,740.80 is: 769,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,718.40 : 916,077.60 = 512,740.80 : x
  2. Step 2: Convert to fraction form
    610,718.40/916,077.60 = 512,740.80/x
  3. Step 3: Cross multiply
    610,718.40x = 916,077.60 × 512,740.80
  4. Step 4: Simplify right side
    610,718.40x = 469,710,361,486.08
  5. Step 5: Solve for x
    x = 469,710,361,486.08/610,718.40
  6. Step 6: Final answer
    x = 769,111.20

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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.