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Finding the Fourth Proportional to 569,842,160, 786,374,464.08 and 318,946,477.28

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Solution

The fourth proportional to 569,842,160, 786,374,464.08 and 318,946,477.28 is: 440,141,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,842,160 : 786,374,464.08 = 318,946,477.28 : x
  2. Step 2: Convert to fraction form
    569,842,160/786,374,464.08 = 318,946,477.28/x
  3. Step 3: Cross multiply
    569,842,160x = 786,374,464.08 × 318,946,477.28
  4. Step 4: Simplify right side
    569,842,160x = 250,811,365,141,263,872
  5. Step 5: Solve for x
    x = 250,811,365,141,263,872/569,842,160
  6. Step 6: Final answer
    x = 440,141,819.52

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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.