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Finding the Fourth Proportional to 706,485.04, 974,606.43 and 419,802.10

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Solution

The fourth proportional to 706,485.04, 974,606.43 and 419,802.10 is: 579,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,485.04 : 974,606.43 = 419,802.10 : x
  2. Step 2: Convert to fraction form
    706,485.04/974,606.43 = 419,802.10/x
  3. Step 3: Cross multiply
    706,485.04x = 974,606.43 × 419,802.10
  4. Step 4: Simplify right side
    706,485.04x = 409,141,825,987.50
  5. Step 5: Solve for x
    x = 409,141,825,987.50/706,485.04
  6. Step 6: Final answer
    x = 579,123.13

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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.