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Finding the Fourth Proportional to 742,080.71, 1,024,071.71 and 419,783.93

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Solution

The fourth proportional to 742,080.71, 1,024,071.71 and 419,783.93 is: 579,302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,080.71 : 1,024,071.71 = 419,783.93 : x
  2. Step 2: Convert to fraction form
    742,080.71/1,024,071.71 = 419,783.93/x
  3. Step 3: Cross multiply
    742,080.71x = 1,024,071.71 × 419,783.93
  4. Step 4: Simplify right side
    742,080.71x = 429,888,847,486.88
  5. Step 5: Solve for x
    x = 429,888,847,486.88/742,080.71
  6. Step 6: Final answer
    x = 579,302.01

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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.