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Finding the Fourth Proportional to 390,020, 585,030 and 94,532

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Solution

The fourth proportional to 390,020, 585,030 and 94,532 is: 141,798

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,020 : 585,030 = 94,532 : x
  2. Step 2: Convert to fraction form
    390,020/585,030 = 94,532/x
  3. Step 3: Cross multiply
    390,020x = 585,030 × 94,532
  4. Step 4: Simplify right side
    390,020x = 55,304,055,960
  5. Step 5: Solve for x
    x = 55,304,055,960/390,020
  6. Step 6: Final answer
    x = 141,798

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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.