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Finding the Fourth Proportional to 566,055.40, 781,136.74 and 311,403.88

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Solution

The fourth proportional to 566,055.40, 781,136.74 and 311,403.88 is: 429,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,055.40 : 781,136.74 = 311,403.88 : x
  2. Step 2: Convert to fraction form
    566,055.40/781,136.74 = 311,403.88/x
  3. Step 3: Cross multiply
    566,055.40x = 781,136.74 × 311,403.88
  4. Step 4: Simplify right side
    566,055.40x = 243,249,011,646.55
  5. Step 5: Solve for x
    x = 243,249,011,646.55/566,055.40
  6. Step 6: Final answer
    x = 429,726.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.