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Finding the Fourth Proportional to 402,700, 602,735.64 and 296,055.70

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Solution

The fourth proportional to 402,700, 602,735.64 and 296,055.70 is: 443,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,700 : 602,735.64 = 296,055.70 : x
  2. Step 2: Convert to fraction form
    402,700/602,735.64 = 296,055.70/x
  3. Step 3: Cross multiply
    402,700x = 602,735.64 × 296,055.70
  4. Step 4: Simplify right side
    402,700x = 178,443,321,815.15
  5. Step 5: Solve for x
    x = 178,443,321,815.15/402,700
  6. Step 6: Final answer
    x = 443,117.26

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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.