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Finding the Fourth Proportional to 540,684,781.07, 811,058,574.19 and 208,693,686.78

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Solution

The fourth proportional to 540,684,781.07, 811,058,574.19 and 208,693,686.78 is: 313,052,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,684,781.07 : 811,058,574.19 = 208,693,686.78 : x
  2. Step 2: Convert to fraction form
    540,684,781.07/811,058,574.19 = 208,693,686.78/x
  3. Step 3: Cross multiply
    540,684,781.07x = 811,058,574.19 × 208,693,686.78
  4. Step 4: Simplify right side
    540,684,781.07x = 169,262,804,041,719,520
  5. Step 5: Solve for x
    x = 169,262,804,041,719,520/540,684,781.07
  6. Step 6: Final answer
    x = 313,052,650.95

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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.