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Finding the Fourth Proportional to 294,505.92, 406,428 and 160,374.72

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Solution

The fourth proportional to 294,505.92, 406,428 and 160,374.72 is: 221,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,505.92 : 406,428 = 160,374.72 : x
  2. Step 2: Convert to fraction form
    294,505.92/406,428 = 160,374.72/x
  3. Step 3: Cross multiply
    294,505.92x = 406,428 × 160,374.72
  4. Step 4: Simplify right side
    294,505.92x = 65,180,776,700.16
  5. Step 5: Solve for x
    x = 65,180,776,700.16/294,505.92
  6. Step 6: Final answer
    x = 221,322.47

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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.