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Finding the Fourth Proportional to 768,012,293.60, 1,059,858,807.50 and 415,592,066

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Solution

The fourth proportional to 768,012,293.60, 1,059,858,807.50 and 415,592,066 is: 573,518,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,012,293.60 : 1,059,858,807.50 = 415,592,066 : x
  2. Step 2: Convert to fraction form
    768,012,293.60/1,059,858,807.50 = 415,592,066/x
  3. Step 3: Cross multiply
    768,012,293.60x = 1,059,858,807.50 × 415,592,066
  4. Step 4: Simplify right side
    768,012,293.60x = 440,468,911,477,221,312
  5. Step 5: Solve for x
    x = 440,468,911,477,221,312/768,012,293.60
  6. Step 6: Final answer
    x = 573,518,048.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.