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Finding the Fourth Proportional to 278,492.40, 417,364.40 and 151,943.01

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Solution

The fourth proportional to 278,492.40, 417,364.40 and 151,943.01 is: 227,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,492.40 : 417,364.40 = 151,943.01 : x
  2. Step 2: Convert to fraction form
    278,492.40/417,364.40 = 151,943.01/x
  3. Step 3: Cross multiply
    278,492.40x = 417,364.40 × 151,943.01
  4. Step 4: Simplify right side
    278,492.40x = 63,415,602,443.13
  5. Step 5: Solve for x
    x = 63,415,602,443.13/278,492.40
  6. Step 6: Final answer
    x = 227,710.35

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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.