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Finding the Fourth Proportional to 478,281,844.80, 717,590,728.80 and 205,736,155.20

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Solution

The fourth proportional to 478,281,844.80, 717,590,728.80 and 205,736,155.20 is: 308,676,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,281,844.80 : 717,590,728.80 = 205,736,155.20 : x
  2. Step 2: Convert to fraction form
    478,281,844.80/717,590,728.80 = 205,736,155.20/x
  3. Step 3: Cross multiply
    478,281,844.80x = 717,590,728.80 × 205,736,155.20
  4. Step 4: Simplify right side
    478,281,844.80x = 147,634,357,550,477,888
  5. Step 5: Solve for x
    x = 147,634,357,550,477,888/478,281,844.80
  6. Step 6: Final answer
    x = 308,676,482.61

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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.