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Finding the Fourth Proportional to 314,356.58, 469,252.55 and 290,938.67

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Solution

The fourth proportional to 314,356.58, 469,252.55 and 290,938.67 is: 434,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,356.58 : 469,252.55 = 290,938.67 : x
  2. Step 2: Convert to fraction form
    314,356.58/469,252.55 = 290,938.67/x
  3. Step 3: Cross multiply
    314,356.58x = 469,252.55 × 290,938.67
  4. Step 4: Simplify right side
    314,356.58x = 136,523,708,990.15
  5. Step 5: Solve for x
    x = 136,523,708,990.15/314,356.58
  6. Step 6: Final answer
    x = 434,295.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.