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Finding the Fourth Proportional to 602,002.62, 830,779.47 and 340,337.10

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Solution

The fourth proportional to 602,002.62, 830,779.47 and 340,337.10 is: 469,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,002.62 : 830,779.47 = 340,337.10 : x
  2. Step 2: Convert to fraction form
    602,002.62/830,779.47 = 340,337.10/x
  3. Step 3: Cross multiply
    602,002.62x = 830,779.47 × 340,337.10
  4. Step 4: Simplify right side
    602,002.62x = 282,745,075,559.34
  5. Step 5: Solve for x
    x = 282,745,075,559.34/602,002.62
  6. Step 6: Final answer
    x = 469,674.16

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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.