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Finding the Fourth Proportional to 712,852.64, 983,688 and 418,599.20

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Solution

The fourth proportional to 712,852.64, 983,688 and 418,599.20 is: 577,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,852.64 : 983,688 = 418,599.20 : x
  2. Step 2: Convert to fraction form
    712,852.64/983,688 = 418,599.20/x
  3. Step 3: Cross multiply
    712,852.64x = 983,688 × 418,599.20
  4. Step 4: Simplify right side
    712,852.64x = 411,771,009,849.60
  5. Step 5: Solve for x
    x = 411,771,009,849.60/712,852.64
  6. Step 6: Final answer
    x = 577,638.33

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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.