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Finding the Fourth Proportional to 705,412, 973,475.70 and 383,128.40

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Solution

The fourth proportional to 705,412, 973,475.70 and 383,128.40 is: 528,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,412 : 973,475.70 = 383,128.40 : x
  2. Step 2: Convert to fraction form
    705,412/973,475.70 = 383,128.40/x
  3. Step 3: Cross multiply
    705,412x = 973,475.70 × 383,128.40
  4. Step 4: Simplify right side
    705,412x = 372,966,187,379.88
  5. Step 5: Solve for x
    x = 372,966,187,379.88/705,412
  6. Step 6: Final answer
    x = 528,721.07

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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.