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Finding the Fourth Proportional to 401,280,671.60, 601,921,007.40 and 171,698,159.60

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Solution

The fourth proportional to 401,280,671.60, 601,921,007.40 and 171,698,159.60 is: 257,547,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,280,671.60 : 601,921,007.40 = 171,698,159.60 : x
  2. Step 2: Convert to fraction form
    401,280,671.60/601,921,007.40 = 171,698,159.60/x
  3. Step 3: Cross multiply
    401,280,671.60x = 601,921,007.40 × 171,698,159.60
  4. Step 4: Simplify right side
    401,280,671.60x = 103,348,729,195,157,968
  5. Step 5: Solve for x
    x = 103,348,729,195,157,968/401,280,671.60
  6. Step 6: Final answer
    x = 257,547,239.40

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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.