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Finding the Fourth Proportional to 616,971.90, 924,145.65 and 511,995.90

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Solution

The fourth proportional to 616,971.90, 924,145.65 and 511,995.90 is: 766,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,971.90 : 924,145.65 = 511,995.90 : x
  2. Step 2: Convert to fraction form
    616,971.90/924,145.65 = 511,995.90/x
  3. Step 3: Cross multiply
    616,971.90x = 924,145.65 × 511,995.90
  4. Step 4: Simplify right side
    616,971.90x = 473,158,783,802.84
  5. Step 5: Solve for x
    x = 473,158,783,802.84/616,971.90
  6. Step 6: Final answer
    x = 766,904.92

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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.