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Finding the Fourth Proportional to 390,510.84, 585,097.53 and 213,142.32

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Solution

The fourth proportional to 390,510.84, 585,097.53 and 213,142.32 is: 319,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,510.84 : 585,097.53 = 213,142.32 : x
  2. Step 2: Convert to fraction form
    390,510.84/585,097.53 = 213,142.32/x
  3. Step 3: Cross multiply
    390,510.84x = 585,097.53 × 213,142.32
  4. Step 4: Simplify right side
    390,510.84x = 124,709,044,970.47
  5. Step 5: Solve for x
    x = 124,709,044,970.47/390,510.84
  6. Step 6: Final answer
    x = 319,348.48

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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.