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Finding the Fourth Proportional to 710,300.82, 980,244.93 and 408,495.06

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Solution

The fourth proportional to 710,300.82, 980,244.93 and 408,495.06 is: 563,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,300.82 : 980,244.93 = 408,495.06 : x
  2. Step 2: Convert to fraction form
    710,300.82/980,244.93 = 408,495.06/x
  3. Step 3: Cross multiply
    710,300.82x = 980,244.93 × 408,495.06
  4. Step 4: Simplify right side
    710,300.82x = 400,425,211,495.05
  5. Step 5: Solve for x
    x = 400,425,211,495.05/710,300.82
  6. Step 6: Final answer
    x = 563,740.32

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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.