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Finding the Fourth Proportional to 585,020, 877,530 and 141,788

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Solution

The fourth proportional to 585,020, 877,530 and 141,788 is: 212,682

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,020 : 877,530 = 141,788 : x
  2. Step 2: Convert to fraction form
    585,020/877,530 = 141,788/x
  3. Step 3: Cross multiply
    585,020x = 877,530 × 141,788
  4. Step 4: Simplify right side
    585,020x = 124,423,223,640
  5. Step 5: Solve for x
    x = 124,423,223,640/585,020
  6. Step 6: Final answer
    x = 212,682

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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.