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Finding the Fourth Proportional to 602,109.02, 830,903.59 and 347,454.74

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Solution

The fourth proportional to 602,109.02, 830,903.59 and 347,454.74 is: 479,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,109.02 : 830,903.59 = 347,454.74 : x
  2. Step 2: Convert to fraction form
    602,109.02/830,903.59 = 347,454.74/x
  3. Step 3: Cross multiply
    602,109.02x = 830,903.59 × 347,454.74
  4. Step 4: Simplify right side
    602,109.02x = 288,701,390,828.52
  5. Step 5: Solve for x
    x = 288,701,390,828.52/602,109.02
  6. Step 6: Final answer
    x = 479,483.58

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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.