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Finding the Fourth Proportional to 313,210.31, 432,230.49 and 169,970.34

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Solution

The fourth proportional to 313,210.31, 432,230.49 and 169,970.34 is: 234,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,210.31 : 432,230.49 = 169,970.34 : x
  2. Step 2: Convert to fraction form
    313,210.31/432,230.49 = 169,970.34/x
  3. Step 3: Cross multiply
    313,210.31x = 432,230.49 × 169,970.34
  4. Step 4: Simplify right side
    313,210.31x = 73,466,363,343.67
  5. Step 5: Solve for x
    x = 73,466,363,343.67/313,210.31
  6. Step 6: Final answer
    x = 234,559.21

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1.5x scale

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.