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Finding the Fourth Proportional to 242,569.80, 364,510.80 and 213,701.40

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Solution

The fourth proportional to 242,569.80, 364,510.80 and 213,701.40 is: 321,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,569.80 : 364,510.80 = 213,701.40 : x
  2. Step 2: Convert to fraction form
    242,569.80/364,510.80 = 213,701.40/x
  3. Step 3: Cross multiply
    242,569.80x = 364,510.80 × 213,701.40
  4. Step 4: Simplify right side
    242,569.80x = 77,896,468,275.12
  5. Step 5: Solve for x
    x = 77,896,468,275.12/242,569.80
  6. Step 6: Final answer
    x = 321,130.12

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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.