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Finding the Fourth Proportional to 386,430.40, 579,645.60 and 105,947.20

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Solution

The fourth proportional to 386,430.40, 579,645.60 and 105,947.20 is: 158,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,430.40 : 579,645.60 = 105,947.20 : x
  2. Step 2: Convert to fraction form
    386,430.40/579,645.60 = 105,947.20/x
  3. Step 3: Cross multiply
    386,430.40x = 579,645.60 × 105,947.20
  4. Step 4: Simplify right side
    386,430.40x = 61,411,828,312.32
  5. Step 5: Solve for x
    x = 61,411,828,312.32/386,430.40
  6. Step 6: Final answer
    x = 158,920.80

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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.