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Finding the Fourth Proportional to 293,257,068.80, 440,169,038.40 and 147,854,811.20

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Solution

The fourth proportional to 293,257,068.80, 440,169,038.40 and 147,854,811.20 is: 221,925,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,257,068.80 : 440,169,038.40 = 147,854,811.20 : x
  2. Step 2: Convert to fraction form
    293,257,068.80/440,169,038.40 = 147,854,811.20/x
  3. Step 3: Cross multiply
    293,257,068.80x = 440,169,038.40 × 147,854,811.20
  4. Step 4: Simplify right side
    293,257,068.80x = 65,081,110,068,717,544
  5. Step 5: Solve for x
    x = 65,081,110,068,717,544/293,257,068.80
  6. Step 6: Final answer
    x = 221,925,119.61

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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.