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Finding the Fourth Proportional to 313,281.50, 432,328.86 and 170,041.50

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Solution

The fourth proportional to 313,281.50, 432,328.86 and 170,041.50 is: 234,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,281.50 : 432,328.86 = 170,041.50 : x
  2. Step 2: Convert to fraction form
    313,281.50/432,328.86 = 170,041.50/x
  3. Step 3: Cross multiply
    313,281.50x = 432,328.86 × 170,041.50
  4. Step 4: Simplify right side
    313,281.50x = 73,513,847,847.69
  5. Step 5: Solve for x
    x = 73,513,847,847.69/313,281.50
  6. Step 6: Final answer
    x = 234,657.49

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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.