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Finding the Fourth Proportional to 390,009, 585,013.50 and 94,521

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Solution

The fourth proportional to 390,009, 585,013.50 and 94,521 is: 141,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,009 : 585,013.50 = 94,521 : x
  2. Step 2: Convert to fraction form
    390,009/585,013.50 = 94,521/x
  3. Step 3: Cross multiply
    390,009x = 585,013.50 × 94,521
  4. Step 4: Simplify right side
    390,009x = 55,296,061,033.50
  5. Step 5: Solve for x
    x = 55,296,061,033.50/390,009
  6. Step 6: Final answer
    x = 141,781.50

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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.