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Finding the Fourth Proportional to 1,569,712.80, 2,354,569.20 and 771,506.40

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Solution

The fourth proportional to 1,569,712.80, 2,354,569.20 and 771,506.40 is: 1,157,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,712.80 : 2,354,569.20 = 771,506.40 : x
  2. Step 2: Convert to fraction form
    1,569,712.80/2,354,569.20 = 771,506.40/x
  3. Step 3: Cross multiply
    1,569,712.80x = 2,354,569.20 × 771,506.40
  4. Step 4: Simplify right side
    1,569,712.80x = 1,816,565,207,042.88
  5. Step 5: Solve for x
    x = 1,816,565,207,042.88/1,569,712.80
  6. Step 6: Final answer
    x = 1,157,259.60

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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.