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Finding the Fourth Proportional to 651,888.16, 978,111.12 and 272,897.44

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Solution

The fourth proportional to 651,888.16, 978,111.12 and 272,897.44 is: 409,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,888.16 : 978,111.12 = 272,897.44 : x
  2. Step 2: Convert to fraction form
    651,888.16/978,111.12 = 272,897.44/x
  3. Step 3: Cross multiply
    651,888.16x = 978,111.12 × 272,897.44
  4. Step 4: Simplify right side
    651,888.16x = 266,924,020,683.53
  5. Step 5: Solve for x
    x = 266,924,020,683.53/651,888.16
  6. Step 6: Final answer
    x = 409,462.91

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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.