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Finding the Fourth Proportional to 315,762.19, 435,746.73 and 172,519.16

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Solution

The fourth proportional to 315,762.19, 435,746.73 and 172,519.16 is: 238,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,762.19 : 435,746.73 = 172,519.16 : x
  2. Step 2: Convert to fraction form
    315,762.19/435,746.73 = 172,519.16/x
  3. Step 3: Cross multiply
    315,762.19x = 435,746.73 × 172,519.16
  4. Step 4: Simplify right side
    315,762.19x = 75,174,657,653.61
  5. Step 5: Solve for x
    x = 75,174,657,653.61/315,762.19
  6. Step 6: Final answer
    x = 238,073.65

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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.