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Finding the Fourth Proportional to 342,488.47, 513,935.66 and 190,812.50

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Solution

The fourth proportional to 342,488.47, 513,935.66 and 190,812.50 is: 286,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,488.47 : 513,935.66 = 190,812.50 : x
  2. Step 2: Convert to fraction form
    342,488.47/513,935.66 = 190,812.50/x
  3. Step 3: Cross multiply
    342,488.47x = 513,935.66 × 190,812.50
  4. Step 4: Simplify right side
    342,488.47x = 98,065,348,123.75
  5. Step 5: Solve for x
    x = 98,065,348,123.75/342,488.47
  6. Step 6: Final answer
    x = 286,331.82

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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.