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Finding the Fourth Proportional to 379,897.84, 570,041.16 and 155,424.16

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Solution

The fourth proportional to 379,897.84, 570,041.16 and 155,424.16 is: 233,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,897.84 : 570,041.16 = 155,424.16 : x
  2. Step 2: Convert to fraction form
    379,897.84/570,041.16 = 155,424.16/x
  3. Step 3: Cross multiply
    379,897.84x = 570,041.16 × 155,424.16
  4. Step 4: Simplify right side
    379,897.84x = 88,598,168,458.43
  5. Step 5: Solve for x
    x = 88,598,168,458.43/379,897.84
  6. Step 6: Final answer
    x = 233,215.77

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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.