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Finding the Fourth Proportional to 390,390.40, 586,276.80 and 301,859.20

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Solution

The fourth proportional to 390,390.40, 586,276.80 and 301,859.20 is: 453,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,390.40 : 586,276.80 = 301,859.20 : x
  2. Step 2: Convert to fraction form
    390,390.40/586,276.80 = 301,859.20/x
  3. Step 3: Cross multiply
    390,390.40x = 586,276.80 × 301,859.20
  4. Step 4: Simplify right side
    390,390.40x = 176,973,045,826.56
  5. Step 5: Solve for x
    x = 176,973,045,826.56/390,390.40
  6. Step 6: Final answer
    x = 453,323.25

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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.