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Finding the Fourth Proportional to 402,297.15, 602,754.53 and 212,476.35

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Solution

The fourth proportional to 402,297.15, 602,754.53 and 212,476.35 is: 318,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,297.15 : 602,754.53 = 212,476.35 : x
  2. Step 2: Convert to fraction form
    402,297.15/602,754.53 = 212,476.35/x
  3. Step 3: Cross multiply
    402,297.15x = 602,754.53 × 212,476.35
  4. Step 4: Simplify right side
    402,297.15x = 128,071,081,417.98
  5. Step 5: Solve for x
    x = 128,071,081,417.98/402,297.15
  6. Step 6: Final answer
    x = 318,349.46

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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.