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Finding the Fourth Proportional to 706,311, 974,677.50 and 400,383

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Solution

The fourth proportional to 706,311, 974,677.50 and 400,383 is: 552,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,311 : 974,677.50 = 400,383 : x
  2. Step 2: Convert to fraction form
    706,311/974,677.50 = 400,383/x
  3. Step 3: Cross multiply
    706,311x = 974,677.50 × 400,383
  4. Step 4: Simplify right side
    706,311x = 390,244,301,482.50
  5. Step 5: Solve for x
    x = 390,244,301,482.50/706,311
  6. Step 6: Final answer
    x = 552,510.58

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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.