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Finding the Fourth Proportional to 268,985,354.40, 403,478,031.60 and 160,146,237.60

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Solution

The fourth proportional to 268,985,354.40, 403,478,031.60 and 160,146,237.60 is: 240,219,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,985,354.40 : 403,478,031.60 = 160,146,237.60 : x
  2. Step 2: Convert to fraction form
    268,985,354.40/403,478,031.60 = 160,146,237.60/x
  3. Step 3: Cross multiply
    268,985,354.40x = 403,478,031.60 × 160,146,237.60
  4. Step 4: Simplify right side
    268,985,354.40x = 64,615,488,714,993,912
  5. Step 5: Solve for x
    x = 64,615,488,714,993,912/268,985,354.40
  6. Step 6: Final answer
    x = 240,219,356.40

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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.