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Finding the Fourth Proportional to 295,180,430.40, 442,959,602.40 and 172,358,510.40

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Solution

The fourth proportional to 295,180,430.40, 442,959,602.40 and 172,358,510.40 is: 258,648,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,180,430.40 : 442,959,602.40 = 172,358,510.40 : x
  2. Step 2: Convert to fraction form
    295,180,430.40/442,959,602.40 = 172,358,510.40/x
  3. Step 3: Cross multiply
    295,180,430.40x = 442,959,602.40 × 172,358,510.40
  4. Step 4: Simplify right side
    295,180,430.40x = 76,347,857,237,040,256
  5. Step 5: Solve for x
    x = 76,347,857,237,040,256/295,180,430.40
  6. Step 6: Final answer
    x = 258,648,099.18

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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.