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Finding the Fourth Proportional to 602,151.19, 830,980.07 and 330,202.90

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Solution

The fourth proportional to 602,151.19, 830,980.07 and 330,202.90 is: 455,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,151.19 : 830,980.07 = 330,202.90 : x
  2. Step 2: Convert to fraction form
    602,151.19/830,980.07 = 330,202.90/x
  3. Step 3: Cross multiply
    602,151.19x = 830,980.07 × 330,202.90
  4. Step 4: Simplify right side
    602,151.19x = 274,392,028,956.20
  5. Step 5: Solve for x
    x = 274,392,028,956.20/602,151.19
  6. Step 6: Final answer
    x = 455,686.27

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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.