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Finding the Fourth Proportional to 506,822.40, 699,345.72 and 302,830.20

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Solution

The fourth proportional to 506,822.40, 699,345.72 and 302,830.20 is: 417,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,822.40 : 699,345.72 = 302,830.20 : x
  2. Step 2: Convert to fraction form
    506,822.40/699,345.72 = 302,830.20/x
  3. Step 3: Cross multiply
    506,822.40x = 699,345.72 × 302,830.20
  4. Step 4: Simplify right side
    506,822.40x = 211,783,004,256.74
  5. Step 5: Solve for x
    x = 211,783,004,256.74/506,822.40
  6. Step 6: Final answer
    x = 417,864.33

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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.